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Finding the Fourth Proportional to 78,381.25, 108,197.13 and 54,521.77

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Solution

The fourth proportional to 78,381.25, 108,197.13 and 54,521.77 is: 75,261.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,381.25 : 108,197.13 = 54,521.77 : x
  2. Step 2: Convert to fraction form
    78,381.25/108,197.13 = 54,521.77/x
  3. Step 3: Cross multiply
    78,381.25x = 108,197.13 × 54,521.77
  4. Step 4: Simplify right side
    78,381.25x = 5,899,098,763.91
  5. Step 5: Solve for x
    x = 5,899,098,763.91/78,381.25
  6. Step 6: Final answer
    x = 75,261.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.